Search a number
-
+
4022102131333 = 1113313785928547
BaseRepresentation
bin111010100001110111111…
…110000000001010000101
3112020111202012202022020221
4322201313332000022011
51011344231121200313
612315421143224341
7563405304011566
oct72416776001205
915214665668227
104022102131333
111310844885010
1254b615a480b1
13232389b59360
14dc9568a816d
156e95655ec8d
hex3a877f80285

4022102131333 has 64 divisors (see below), whose sum is σ = 5015531888640. Its totient is φ = 3174223852800.

The previous prime is 4022102131319. The next prime is 4022102131337. The reversal of 4022102131333 is 3331312012204.

It is a de Polignac number, because none of the positive numbers 2k-4022102131333 is a prime.

It is a super-2 number, since 2×40221021313332 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4022102131298 and 4022102131307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022102131337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140879766 + ... + 140908312.

It is an arithmetic number, because the mean of its divisors is an integer number (78367685760).

Almost surely, 24022102131333 is an apocalyptic number.

It is an amenable number.

4022102131333 is a deficient number, since it is larger than the sum of its proper divisors (993429757307).

4022102131333 is a wasteful number, since it uses less digits than its factorization.

4022102131333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29498.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 4022102131333 its reverse (3331312012204), we get a palindrome (7353414143537).

The spelling of 4022102131333 in words is "four trillion, twenty-two billion, one hundred two million, one hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 11 13 31 37 143 341 403 407 481 859 1147 4433 5291 9449 11167 12617 14911 26629 28547 31783 122837 164021 292919 314017 346177 349613 371111 413179 884957 985273 1056239 3807947 4082221 4544969 9734527 10838003 11504441 11618629 12808549 13731107 24521873 32743409 126548851 140894039 151042177 269740603 318784349 360177499 425664317 760178063 907309301 3506627839 4682307487 8361958693 9882314819 9980402311 11795020913 28126588331 108705463009 129745230043 309392471641 365645648303 4022102131333